Abstract
In this paper, we propose a logistic map over prime fields, which is one way to implement the logistic map over real domain into a computer. We describe a definition and some properties for the logistic map over prime fields, and prove an automorphism between two maps with different control values. We also discuss both advantages and disadvantages of the existence for the automorphism, and an aptitude for the map used by the pseudorandom number generators.
| Original language | English |
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| Title of host publication | Proceedings of 2014 International Symposium on Information Theory and Its Applications, ISITA 2014 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 714-718 |
| Number of pages | 5 |
| ISBN (Electronic) | 9784885522925 |
| Publication status | Published - Dec 8 2014 |
| Event | 2014 International Symposium on Information Theory and Its Applications, ISITA 2014 - Melbourne, Australia Duration: Oct 26 2014 → Oct 29 2014 |
Publication series
| Name | Proceedings of 2014 International Symposium on Information Theory and Its Applications, ISITA 2014 |
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Other
| Other | 2014 International Symposium on Information Theory and Its Applications, ISITA 2014 |
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| Country | Australia |
| City | Melbourne |
| Period | 10/26/14 → 10/29/14 |
ASJC Scopus subject areas
- Computer Science Applications
- Information Systems
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Cite this
Miyazaki, T., Araki, S., Uehara, S., & Nogami, Y. (2014). A study of an automorphism on the logistic maps over prime fields. In Proceedings of 2014 International Symposium on Information Theory and Its Applications, ISITA 2014 (pp. 714-718). [6979937] (Proceedings of 2014 International Symposium on Information Theory and Its Applications, ISITA 2014). Institute of Electrical and Electronics Engineers Inc..